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Finding the Third Proportional to 229,032 and 504,576

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Solution

The third proportional to 229,032 and 504,576 is: 1,111,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,032 : 504,576 = 504,576 : x
  2. Step 2: Convert to fraction form
    229,032/504,576 = 504,576/x
  3. Step 3: Cross multiply
    229,032x = 504,576 × 504,576
  4. Step 4: Simplify right side
    229,032x = 254,596,939,776
  5. Step 5: Solve for x
    x = 254,596,939,776/229,032
  6. Step 6: Final answer
    x = 1,111,621.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.